What is the Least Common Multiple of 715 and 722?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 715 and 722 is 516230.
LCM(715,722) = 516230
Least Common Multiple of 715 and 722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 715 and 722, than apply into the LCM equation.
GCF(715,722) = 1
LCM(715,722) = ( 715 × 722) / 1
LCM(715,722) = 516230 / 1
LCM(715,722) = 516230
Least Common Multiple (LCM) of 715 and 722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 722. First we will calculate the prime factors of 715 and 722.
Prime Factorization of 715
Prime factors of 715 are 5, 11, 13. Prime factorization of 715 in exponential form is:
715 = 51 × 111 × 131
Prime Factorization of 722
Prime factors of 722 are 2, 19. Prime factorization of 722 in exponential form is:
722 = 21 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 722.
LCM(715,722) = 51 × 111 × 131 × 21 × 192
LCM(715,722) = 516230
Related Least Common Multiples of 715
- LCM of 715 and 719
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- LCM of 715 and 722
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Related Least Common Multiples of 722
- LCM of 722 and 726
- LCM of 722 and 727
- LCM of 722 and 728
- LCM of 722 and 729
- LCM of 722 and 730
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- LCM of 722 and 734
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- LCM of 722 and 737
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