What is the Least Common Multiple of 91520 and 91533?

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 91520 and 91533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91520 and 91533, than apply into the LCM equation.

GCF(91520,91533) = 13
LCM(91520,91533) = ( 91520 × 91533) / 13
LCM(91520,91533) = 8377100160 / 13
LCM(91520,91533) = 644392320

Least Common Multiple (LCM) of 91520 and 91533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91520 and 91533. First we will calculate the prime factors of 91520 and 91533.

Prime Factorization of 91520

Prime Factorization of 91533

Now multiplying the highest exponent prime factors to calculate the LCM of 91520 and 91533.

LCM(91520,91533) = 2⁷ × 5¹ × 11¹ × 13¹ × 3¹ × 2347¹
LCM(91520,91533) = 644392320