What is the Least Common Multiple of 86952 and 86965?

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 86952 and 86965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86952 and 86965, than apply into the LCM equation.

GCF(86952,86965) = 1
LCM(86952,86965) = ( 86952 × 86965) / 1
LCM(86952,86965) = 7561780680 / 1
LCM(86952,86965) = 7561780680

Least Common Multiple (LCM) of 86952 and 86965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86952 and 86965. First we will calculate the prime factors of 86952 and 86965.

Prime Factorization of 86952

Prime Factorization of 86965

Now multiplying the highest exponent prime factors to calculate the LCM of 86952 and 86965.

LCM(86952,86965) = 2³ × 3¹ × 3623¹ × 5¹ × 17393¹
LCM(86952,86965) = 7561780680