What is the Least Common Multiple of 90724 and 90736?

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 90724 and 90736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90724 and 90736, than apply into the LCM equation.

GCF(90724,90736) = 4
LCM(90724,90736) = ( 90724 × 90736) / 4
LCM(90724,90736) = 8231932864 / 4
LCM(90724,90736) = 2057983216

Least Common Multiple (LCM) of 90724 and 90736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90724 and 90736. First we will calculate the prime factors of 90724 and 90736.

Prime Factorization of 90724

Prime Factorization of 90736

Now multiplying the highest exponent prime factors to calculate the LCM of 90724 and 90736.

LCM(90724,90736) = 2⁴ × 37¹ × 613¹ × 53¹ × 107¹
LCM(90724,90736) = 2057983216