What is the Least Common Multiple of 49623 and 49637?

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 49623 and 49637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49623 and 49637, than apply into the LCM equation.

GCF(49623,49637) = 7
LCM(49623,49637) = ( 49623 × 49637) / 7
LCM(49623,49637) = 2463136851 / 7
LCM(49623,49637) = 351876693

Least Common Multiple (LCM) of 49623 and 49637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49623 and 49637. First we will calculate the prime factors of 49623 and 49637.

Prime Factorization of 49623

Prime Factorization of 49637

Now multiplying the highest exponent prime factors to calculate the LCM of 49623 and 49637.

LCM(49623,49637) = 3¹ × 7² × 17¹ × 139¹ × 1013¹
LCM(49623,49637) = 351876693