What is the Least Common Multiple of 49662 and 49671?

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 49662 and 49671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49662 and 49671, than apply into the LCM equation.

GCF(49662,49671) = 9
LCM(49662,49671) = ( 49662 × 49671) / 9
LCM(49662,49671) = 2466761202 / 9
LCM(49662,49671) = 274084578

Least Common Multiple (LCM) of 49662 and 49671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49662 and 49671. First we will calculate the prime factors of 49662 and 49671.

Prime Factorization of 49662

Prime Factorization of 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 49662 and 49671.

LCM(49662,49671) = 2¹ × 3² × 31¹ × 89¹ × 5519¹
LCM(49662,49671) = 274084578