What is the Least Common Multiple of 84264 and 84270?

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 84264 and 84270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84264 and 84270, than apply into the LCM equation.

GCF(84264,84270) = 6
LCM(84264,84270) = ( 84264 × 84270) / 6
LCM(84264,84270) = 7100927280 / 6
LCM(84264,84270) = 1183487880

Least Common Multiple (LCM) of 84264 and 84270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84264 and 84270. First we will calculate the prime factors of 84264 and 84270.

Prime Factorization of 84264

Prime Factorization of 84270

Now multiplying the highest exponent prime factors to calculate the LCM of 84264 and 84270.

LCM(84264,84270) = 2³ × 3¹ × 3511¹ × 5¹ × 53²
LCM(84264,84270) = 1183487880