What is the Least Common Multiple of 49671 and 49689?

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 49671 and 49689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49671 and 49689, than apply into the LCM equation.

GCF(49671,49689) = 9
LCM(49671,49689) = ( 49671 × 49689) / 9
LCM(49671,49689) = 2468102319 / 9
LCM(49671,49689) = 274233591

Least Common Multiple (LCM) of 49671 and 49689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49671 and 49689. First we will calculate the prime factors of 49671 and 49689.

Prime Factorization of 49671

Prime Factorization of 49689

Now multiplying the highest exponent prime factors to calculate the LCM of 49671 and 49689.

LCM(49671,49689) = 3² × 5519¹ × 5521¹
LCM(49671,49689) = 274233591