What is the Least Common Multiple of 89463 and 89480?

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 89463 and 89480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89463 and 89480, than apply into the LCM equation.

GCF(89463,89480) = 1
LCM(89463,89480) = ( 89463 × 89480) / 1
LCM(89463,89480) = 8005149240 / 1
LCM(89463,89480) = 8005149240

Least Common Multiple (LCM) of 89463 and 89480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89463 and 89480. First we will calculate the prime factors of 89463 and 89480.

Prime Factorization of 89463

Prime Factorization of 89480

Now multiplying the highest exponent prime factors to calculate the LCM of 89463 and 89480.

LCM(89463,89480) = 3¹ × 11¹ × 2711¹ × 2³ × 5¹ × 2237¹
LCM(89463,89480) = 8005149240