What is the Least Common Multiple of 49362 and 49376?

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 49362 and 49376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49362 and 49376, than apply into the LCM equation.

GCF(49362,49376) = 2
LCM(49362,49376) = ( 49362 × 49376) / 2
LCM(49362,49376) = 2437298112 / 2
LCM(49362,49376) = 1218649056

Least Common Multiple (LCM) of 49362 and 49376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49362 and 49376. First we will calculate the prime factors of 49362 and 49376.

Prime Factorization of 49362

Prime Factorization of 49376

Now multiplying the highest exponent prime factors to calculate the LCM of 49362 and 49376.

LCM(49362,49376) = 2⁵ × 3¹ × 19¹ × 433¹ × 1543¹
LCM(49362,49376) = 1218649056