What is the Least Common Multiple of 62718 and 62737?
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 62718 and 62737 is 3934739166.
LCM(62718,62737) = 3934739166
Least Common Multiple of 62718 and 62737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62718 and 62737, than apply into the LCM equation.
GCF(62718,62737) = 1
LCM(62718,62737) = ( 62718 × 62737) / 1
LCM(62718,62737) = 3934739166 / 1
LCM(62718,62737) = 3934739166
Least Common Multiple (LCM) of 62718 and 62737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62718 and 62737. First we will calculate the prime factors of 62718 and 62737.
Prime Factorization of 62718
Prime factors of 62718 are 2, 3, 10453. Prime factorization of 62718 in exponential form is:
62718 = 21 × 31 × 104531
Prime Factorization of 62737
Prime factors of 62737 are 43, 1459. Prime factorization of 62737 in exponential form is:
62737 = 431 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 62718 and 62737.
LCM(62718,62737) = 21 × 31 × 104531 × 431 × 14591
LCM(62718,62737) = 3934739166
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