What is the Least Common Multiple of 7920 and 7937?

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 7920 and 7937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7920 and 7937, than apply into the LCM equation.

GCF(7920,7937) = 1
LCM(7920,7937) = ( 7920 × 7937) / 1
LCM(7920,7937) = 62861040 / 1
LCM(7920,7937) = 62861040

Least Common Multiple (LCM) of 7920 and 7937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7920 and 7937. First we will calculate the prime factors of 7920 and 7937.

Prime Factorization of 7920

Prime Factorization of 7937

Now multiplying the highest exponent prime factors to calculate the LCM of 7920 and 7937.

LCM(7920,7937) = 2⁴ × 3² × 5¹ × 11¹ × 7937¹
LCM(7920,7937) = 62861040