What is the Least Common Multiple of 91419 and 91437?

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 91419 and 91437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91419 and 91437, than apply into the LCM equation.

GCF(91419,91437) = 3
LCM(91419,91437) = ( 91419 × 91437) / 3
LCM(91419,91437) = 8359079103 / 3
LCM(91419,91437) = 2786359701

Least Common Multiple (LCM) of 91419 and 91437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91419 and 91437. First we will calculate the prime factors of 91419 and 91437.

Prime Factorization of 91419

Prime Factorization of 91437

Now multiplying the highest exponent prime factors to calculate the LCM of 91419 and 91437.

LCM(91419,91437) = 3¹ × 31¹ × 983¹ × 29¹ × 1051¹
LCM(91419,91437) = 2786359701