What is the Least Common Multiple of 37696 and 37710?

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 of 37696 and 37710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37696 and 37710, than apply into the LCM equation.

GCF(37696,37710) = 2
LCM(37696,37710) = ( 37696 × 37710) / 2
LCM(37696,37710) = 1421516160 / 2
LCM(37696,37710) = 710758080

Least Common Multiple (LCM) of 37696 and 37710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37696 and 37710. First we will calculate the prime factors of 37696 and 37710.

Prime Factorization of 37696

Prime Factorization of 37710

Now multiplying the highest exponent prime factors to calculate the LCM of 37696 and 37710.

LCM(37696,37710) = 2⁶ × 19¹ × 31¹ × 3² × 5¹ × 419¹
LCM(37696,37710) = 710758080