What is the Least Common Multiple of 91464 and 91470?

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 91464 and 91470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91464 and 91470, than apply into the LCM equation.

GCF(91464,91470) = 6
LCM(91464,91470) = ( 91464 × 91470) / 6
LCM(91464,91470) = 8366212080 / 6
LCM(91464,91470) = 1394368680

Least Common Multiple (LCM) of 91464 and 91470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91464 and 91470. First we will calculate the prime factors of 91464 and 91470.

Prime Factorization of 91464

Prime Factorization of 91470

Now multiplying the highest exponent prime factors to calculate the LCM of 91464 and 91470.

LCM(91464,91470) = 2³ × 3¹ × 37¹ × 103¹ × 5¹ × 3049¹
LCM(91464,91470) = 1394368680