What is the Least Common Multiple of 91238 and 91247?

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 91247 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 91247, than apply into the LCM equation.

GCF(91238,91247) = 1
LCM(91238,91247) = ( 91238 × 91247) / 1
LCM(91238,91247) = 8325193786 / 1
LCM(91238,91247) = 8325193786

Least Common Multiple (LCM) of 91238 and 91247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91238 and 91247. First we will calculate the prime factors of 91238 and 91247.

Prime Factorization of 91238

Prime Factorization of 91247

Now multiplying the highest exponent prime factors to calculate the LCM of 91238 and 91247.

LCM(91238,91247) = 2¹ × 7⁴ × 19¹ × 13¹ × 7019¹
LCM(91238,91247) = 8325193786