What is the Least Common Multiple of 37946 and 37952?

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 37946 and 37952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37946 and 37952, than apply into the LCM equation.

GCF(37946,37952) = 2
LCM(37946,37952) = ( 37946 × 37952) / 2
LCM(37946,37952) = 1440126592 / 2
LCM(37946,37952) = 720063296

Least Common Multiple (LCM) of 37946 and 37952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37946 and 37952. First we will calculate the prime factors of 37946 and 37952.

Prime Factorization of 37946

Prime Factorization of 37952

Now multiplying the highest exponent prime factors to calculate the LCM of 37946 and 37952.

LCM(37946,37952) = 2⁶ × 18973¹ × 593¹
LCM(37946,37952) = 720063296