What is the Least Common Multiple of 4638 and 4647?

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 4638 and 4647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4647, than apply into the LCM equation.

GCF(4638,4647) = 3
LCM(4638,4647) = ( 4638 × 4647) / 3
LCM(4638,4647) = 21552786 / 3
LCM(4638,4647) = 7184262

Least Common Multiple (LCM) of 4638 and 4647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4647. First we will calculate the prime factors of 4638 and 4647.

Prime Factorization of 4638

Prime Factorization of 4647

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4647.

LCM(4638,4647) = 2¹ × 3¹ × 773¹ × 1549¹
LCM(4638,4647) = 7184262