What is the Least Common Multiple of 49635 and 49647?

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 49635 and 49647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49635 and 49647, than apply into the LCM equation.

GCF(49635,49647) = 3
LCM(49635,49647) = ( 49635 × 49647) / 3
LCM(49635,49647) = 2464228845 / 3
LCM(49635,49647) = 821409615

Least Common Multiple (LCM) of 49635 and 49647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49635 and 49647. First we will calculate the prime factors of 49635 and 49647.

Prime Factorization of 49635

Prime Factorization of 49647

Now multiplying the highest exponent prime factors to calculate the LCM of 49635 and 49647.

LCM(49635,49647) = 3² × 5¹ × 1103¹ × 13¹ × 19¹ × 67¹
LCM(49635,49647) = 821409615