What is the Least Common Multiple of 49668 and 49678?

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 49668 and 49678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49668 and 49678, than apply into the LCM equation.

GCF(49668,49678) = 2
LCM(49668,49678) = ( 49668 × 49678) / 2
LCM(49668,49678) = 2467406904 / 2
LCM(49668,49678) = 1233703452

Least Common Multiple (LCM) of 49668 and 49678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49668 and 49678. First we will calculate the prime factors of 49668 and 49678.

Prime Factorization of 49668

Prime Factorization of 49678

Now multiplying the highest exponent prime factors to calculate the LCM of 49668 and 49678.

LCM(49668,49678) = 2² × 3¹ × 4139¹ × 59¹ × 421¹
LCM(49668,49678) = 1233703452