What is the Least Common Multiple of 87438 and 87454?

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 87438 and 87454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87438 and 87454, than apply into the LCM equation.

GCF(87438,87454) = 2
LCM(87438,87454) = ( 87438 × 87454) / 2
LCM(87438,87454) = 7646802852 / 2
LCM(87438,87454) = 3823401426

Least Common Multiple (LCM) of 87438 and 87454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87438 and 87454. First we will calculate the prime factors of 87438 and 87454.

Prime Factorization of 87438

Prime Factorization of 87454

Now multiplying the highest exponent prime factors to calculate the LCM of 87438 and 87454.

LCM(87438,87454) = 2¹ × 3¹ × 13¹ × 19¹ × 59¹ × 73¹ × 599¹
LCM(87438,87454) = 3823401426