What is the Least Common Multiple of 87402 and 87420?

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 87402 and 87420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87402 and 87420, than apply into the LCM equation.

GCF(87402,87420) = 6
LCM(87402,87420) = ( 87402 × 87420) / 6
LCM(87402,87420) = 7640682840 / 6
LCM(87402,87420) = 1273447140

Least Common Multiple (LCM) of 87402 and 87420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87402 and 87420. First we will calculate the prime factors of 87402 and 87420.

Prime Factorization of 87402

Prime Factorization of 87420

Now multiplying the highest exponent prime factors to calculate the LCM of 87402 and 87420.

LCM(87402,87420) = 2² × 3¹ × 7¹ × 2081¹ × 5¹ × 31¹ × 47¹
LCM(87402,87420) = 1273447140