What is the Least Common Multiple of 87454 and 87473?

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 87454 and 87473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87454 and 87473, than apply into the LCM equation.

GCF(87454,87473) = 1
LCM(87454,87473) = ( 87454 × 87473) / 1
LCM(87454,87473) = 7649863742 / 1
LCM(87454,87473) = 7649863742

Least Common Multiple (LCM) of 87454 and 87473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87454 and 87473. First we will calculate the prime factors of 87454 and 87473.

Prime Factorization of 87454

Prime Factorization of 87473

Now multiplying the highest exponent prime factors to calculate the LCM of 87454 and 87473.

LCM(87454,87473) = 2¹ × 73¹ × 599¹ × 87473¹
LCM(87454,87473) = 7649863742