What is the Least Common Multiple of 36968 and 36974?

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 36968 and 36974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36968 and 36974, than apply into the LCM equation.

GCF(36968,36974) = 2
LCM(36968,36974) = ( 36968 × 36974) / 2
LCM(36968,36974) = 1366854832 / 2
LCM(36968,36974) = 683427416

Least Common Multiple (LCM) of 36968 and 36974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36968 and 36974. First we will calculate the prime factors of 36968 and 36974.

Prime Factorization of 36968

Prime Factorization of 36974

Now multiplying the highest exponent prime factors to calculate the LCM of 36968 and 36974.

LCM(36968,36974) = 2³ × 4621¹ × 7¹ × 19¹ × 139¹
LCM(36968,36974) = 683427416