What is the Least Common Multiple of 49356 and 49374?

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 49356 and 49374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49356 and 49374, than apply into the LCM equation.

GCF(49356,49374) = 18
LCM(49356,49374) = ( 49356 × 49374) / 18
LCM(49356,49374) = 2436903144 / 18
LCM(49356,49374) = 135383508

Least Common Multiple (LCM) of 49356 and 49374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49356 and 49374. First we will calculate the prime factors of 49356 and 49374.

Prime Factorization of 49356

Prime Factorization of 49374

Now multiplying the highest exponent prime factors to calculate the LCM of 49356 and 49374.

LCM(49356,49374) = 2² × 3³ × 457¹ × 13¹ × 211¹
LCM(49356,49374) = 135383508