What is the Least Common Multiple of 7952 and 7970?

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 7952 and 7970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7952 and 7970, than apply into the LCM equation.

GCF(7952,7970) = 2
LCM(7952,7970) = ( 7952 × 7970) / 2
LCM(7952,7970) = 63377440 / 2
LCM(7952,7970) = 31688720

Least Common Multiple (LCM) of 7952 and 7970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7952 and 7970. First we will calculate the prime factors of 7952 and 7970.

Prime Factorization of 7952

Prime Factorization of 7970

Now multiplying the highest exponent prime factors to calculate the LCM of 7952 and 7970.

LCM(7952,7970) = 2⁴ × 7¹ × 71¹ × 5¹ × 797¹
LCM(7952,7970) = 31688720