What is the Least Common Multiple of 91248 and 91252?

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 91248 and 91252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91248 and 91252, than apply into the LCM equation.

GCF(91248,91252) = 4
LCM(91248,91252) = ( 91248 × 91252) / 4
LCM(91248,91252) = 8326562496 / 4
LCM(91248,91252) = 2081640624

Least Common Multiple (LCM) of 91248 and 91252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91248 and 91252. First we will calculate the prime factors of 91248 and 91252.

Prime Factorization of 91248

Prime Factorization of 91252

Now multiplying the highest exponent prime factors to calculate the LCM of 91248 and 91252.

LCM(91248,91252) = 2⁴ × 3¹ × 1901¹ × 7¹ × 3259¹
LCM(91248,91252) = 2081640624