What is the Least Common Multiple of 90960 and 90968?

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 90960 and 90968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90960 and 90968, than apply into the LCM equation.

GCF(90960,90968) = 8
LCM(90960,90968) = ( 90960 × 90968) / 8
LCM(90960,90968) = 8274449280 / 8
LCM(90960,90968) = 1034306160

Least Common Multiple (LCM) of 90960 and 90968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90960 and 90968. First we will calculate the prime factors of 90960 and 90968.

Prime Factorization of 90960

Prime Factorization of 90968

Now multiplying the highest exponent prime factors to calculate the LCM of 90960 and 90968.

LCM(90960,90968) = 2⁴ × 3¹ × 5¹ × 379¹ × 83¹ × 137¹
LCM(90960,90968) = 1034306160