What is the Least Common Multiple of 59715 and 59722?
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 59715 and 59722 is 3566299230.
LCM(59715,59722) = 3566299230
Least Common Multiple of 59715 and 59722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59715 and 59722, than apply into the LCM equation.
GCF(59715,59722) = 1
LCM(59715,59722) = ( 59715 × 59722) / 1
LCM(59715,59722) = 3566299230 / 1
LCM(59715,59722) = 3566299230
Least Common Multiple (LCM) of 59715 and 59722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59715 and 59722. First we will calculate the prime factors of 59715 and 59722.
Prime Factorization of 59715
Prime factors of 59715 are 3, 5, 1327. Prime factorization of 59715 in exponential form is:
59715 = 32 × 51 × 13271
Prime Factorization of 59722
Prime factors of 59722 are 2, 13, 2297. Prime factorization of 59722 in exponential form is:
59722 = 21 × 131 × 22971
Now multiplying the highest exponent prime factors to calculate the LCM of 59715 and 59722.
LCM(59715,59722) = 32 × 51 × 13271 × 21 × 131 × 22971
LCM(59715,59722) = 3566299230
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