What is the Least Common Multiple of 87420 and 87438?

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 87420 and 87438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87420 and 87438, than apply into the LCM equation.

GCF(87420,87438) = 6
LCM(87420,87438) = ( 87420 × 87438) / 6
LCM(87420,87438) = 7643829960 / 6
LCM(87420,87438) = 1273971660

Least Common Multiple (LCM) of 87420 and 87438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87420 and 87438. First we will calculate the prime factors of 87420 and 87438.

Prime Factorization of 87420

Prime Factorization of 87438

Now multiplying the highest exponent prime factors to calculate the LCM of 87420 and 87438.

LCM(87420,87438) = 2² × 3¹ × 5¹ × 31¹ × 47¹ × 13¹ × 19¹ × 59¹
LCM(87420,87438) = 1273971660