What is the Least Common Multiple of 54642 and 54649?

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 54642 and 54649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54642 and 54649, than apply into the LCM equation.

GCF(54642,54649) = 7
LCM(54642,54649) = ( 54642 × 54649) / 7
LCM(54642,54649) = 2986130658 / 7
LCM(54642,54649) = 426590094

Least Common Multiple (LCM) of 54642 and 54649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54642 and 54649. First we will calculate the prime factors of 54642 and 54649.

Prime Factorization of 54642

Prime Factorization of 54649

Now multiplying the highest exponent prime factors to calculate the LCM of 54642 and 54649.

LCM(54642,54649) = 2¹ × 3¹ × 7¹ × 1301¹ × 37¹ × 211¹
LCM(54642,54649) = 426590094