What is the Least Common Multiple of 11952 and 11970?

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 11952 and 11970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11952 and 11970, than apply into the LCM equation.

GCF(11952,11970) = 18
LCM(11952,11970) = ( 11952 × 11970) / 18
LCM(11952,11970) = 143065440 / 18
LCM(11952,11970) = 7948080

Least Common Multiple (LCM) of 11952 and 11970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11952 and 11970. First we will calculate the prime factors of 11952 and 11970.

Prime Factorization of 11952

Prime Factorization of 11970

Now multiplying the highest exponent prime factors to calculate the LCM of 11952 and 11970.

LCM(11952,11970) = 2⁴ × 3² × 83¹ × 5¹ × 7¹ × 19¹
LCM(11952,11970) = 7948080