What is the Least Common Multiple of 37464 and 37470?

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 37464 and 37470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37464 and 37470, than apply into the LCM equation.

GCF(37464,37470) = 6
LCM(37464,37470) = ( 37464 × 37470) / 6
LCM(37464,37470) = 1403776080 / 6
LCM(37464,37470) = 233962680

Least Common Multiple (LCM) of 37464 and 37470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37464 and 37470. First we will calculate the prime factors of 37464 and 37470.

Prime Factorization of 37464

Prime Factorization of 37470

Now multiplying the highest exponent prime factors to calculate the LCM of 37464 and 37470.

LCM(37464,37470) = 2³ × 3¹ × 7¹ × 223¹ × 5¹ × 1249¹
LCM(37464,37470) = 233962680