What is the Least Common Multiple of 49705 and 49715?

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 49705 and 49715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49705 and 49715, than apply into the LCM equation.

GCF(49705,49715) = 5
LCM(49705,49715) = ( 49705 × 49715) / 5
LCM(49705,49715) = 2471084075 / 5
LCM(49705,49715) = 494216815

Least Common Multiple (LCM) of 49705 and 49715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49705 and 49715. First we will calculate the prime factors of 49705 and 49715.

Prime Factorization of 49705

Prime Factorization of 49715

Now multiplying the highest exponent prime factors to calculate the LCM of 49705 and 49715.

LCM(49705,49715) = 5¹ × 9941¹ × 61¹ × 163¹
LCM(49705,49715) = 494216815