What is the Least Common Multiple of 701 and 707?
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 701 and 707 is 495607.
LCM(701,707) = 495607
Least Common Multiple of 701 and 707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 701 and 707, than apply into the LCM equation.
GCF(701,707) = 1
LCM(701,707) = ( 701 × 707) / 1
LCM(701,707) = 495607 / 1
LCM(701,707) = 495607
Least Common Multiple (LCM) of 701 and 707 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 701 and 707. First we will calculate the prime factors of 701 and 707.
Prime Factorization of 701
Prime factors of 701 are 701. Prime factorization of 701 in exponential form is:
701 = 7011
Prime Factorization of 707
Prime factors of 707 are 7, 101. Prime factorization of 707 in exponential form is:
707 = 71 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 701 and 707.
LCM(701,707) = 7011 × 71 × 1011
LCM(701,707) = 495607
Related Least Common Multiples of 701
- LCM of 701 and 705
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- LCM of 701 and 711
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Related Least Common Multiples of 707
- LCM of 707 and 711
- LCM of 707 and 712
- LCM of 707 and 713
- LCM of 707 and 714
- LCM of 707 and 715
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- LCM of 707 and 717
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