What is the Least Common Multiple of 91238 and 91250?

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 91238 and 91250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91238 and 91250, than apply into the LCM equation.

GCF(91238,91250) = 2
LCM(91238,91250) = ( 91238 × 91250) / 2
LCM(91238,91250) = 8325467500 / 2
LCM(91238,91250) = 4162733750

Least Common Multiple (LCM) of 91238 and 91250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91238 and 91250. First we will calculate the prime factors of 91238 and 91250.

Prime Factorization of 91238

Prime Factorization of 91250

Now multiplying the highest exponent prime factors to calculate the LCM of 91238 and 91250.

LCM(91238,91250) = 2¹ × 7⁴ × 19¹ × 5⁴ × 73¹
LCM(91238,91250) = 4162733750