What is the Least Common Multiple of 90672 and 90678?

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 90672 and 90678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90672 and 90678, than apply into the LCM equation.

GCF(90672,90678) = 6
LCM(90672,90678) = ( 90672 × 90678) / 6
LCM(90672,90678) = 8221955616 / 6
LCM(90672,90678) = 1370325936

Least Common Multiple (LCM) of 90672 and 90678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90672 and 90678. First we will calculate the prime factors of 90672 and 90678.

Prime Factorization of 90672

Prime Factorization of 90678

Now multiplying the highest exponent prime factors to calculate the LCM of 90672 and 90678.

LCM(90672,90678) = 2⁴ × 3¹ × 1889¹ × 7¹ × 17¹ × 127¹
LCM(90672,90678) = 1370325936