What is the Least Common Multiple of 48674 and 48679?

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 48674 and 48679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48674 and 48679, than apply into the LCM equation.

GCF(48674,48679) = 1
LCM(48674,48679) = ( 48674 × 48679) / 1
LCM(48674,48679) = 2369401646 / 1
LCM(48674,48679) = 2369401646

Least Common Multiple (LCM) of 48674 and 48679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48674 and 48679. First we will calculate the prime factors of 48674 and 48679.

Prime Factorization of 48674

Prime Factorization of 48679

Now multiplying the highest exponent prime factors to calculate the LCM of 48674 and 48679.

LCM(48674,48679) = 2¹ × 24337¹ × 48679¹
LCM(48674,48679) = 2369401646