What is the Least Common Multiple of 89460 and 89476?

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 89460 and 89476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89460 and 89476, than apply into the LCM equation.

GCF(89460,89476) = 4
LCM(89460,89476) = ( 89460 × 89476) / 4
LCM(89460,89476) = 8004522960 / 4
LCM(89460,89476) = 2001130740

Least Common Multiple (LCM) of 89460 and 89476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89460 and 89476. First we will calculate the prime factors of 89460 and 89476.

Prime Factorization of 89460

Prime Factorization of 89476

Now multiplying the highest exponent prime factors to calculate the LCM of 89460 and 89476.

LCM(89460,89476) = 2² × 3² × 5¹ × 7¹ × 71¹ × 22369¹
LCM(89460,89476) = 2001130740