What is the Least Common Multiple of 71952 and 71970?

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 71952 and 71970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71952 and 71970, than apply into the LCM equation.

GCF(71952,71970) = 6
LCM(71952,71970) = ( 71952 × 71970) / 6
LCM(71952,71970) = 5178385440 / 6
LCM(71952,71970) = 863064240

Least Common Multiple (LCM) of 71952 and 71970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71952 and 71970. First we will calculate the prime factors of 71952 and 71970.

Prime Factorization of 71952

Prime Factorization of 71970

Now multiplying the highest exponent prime factors to calculate the LCM of 71952 and 71970.

LCM(71952,71970) = 2⁴ × 3¹ × 1499¹ × 5¹ × 2399¹
LCM(71952,71970) = 863064240