What is the Least Common Multiple of 49712 and 49725?

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 49712 and 49725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49712 and 49725, than apply into the LCM equation.

GCF(49712,49725) = 13
LCM(49712,49725) = ( 49712 × 49725) / 13
LCM(49712,49725) = 2471929200 / 13
LCM(49712,49725) = 190148400

Least Common Multiple (LCM) of 49712 and 49725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49712 and 49725. First we will calculate the prime factors of 49712 and 49725.

Prime Factorization of 49712

Prime Factorization of 49725

Now multiplying the highest exponent prime factors to calculate the LCM of 49712 and 49725.

LCM(49712,49725) = 2⁴ × 13¹ × 239¹ × 3² × 5² × 17¹
LCM(49712,49725) = 190148400