What is the Least Common Multiple of 62850 and 62870?

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 62850 and 62870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62850 and 62870, than apply into the LCM equation.

GCF(62850,62870) = 10
LCM(62850,62870) = ( 62850 × 62870) / 10
LCM(62850,62870) = 3951379500 / 10
LCM(62850,62870) = 395137950

Least Common Multiple (LCM) of 62850 and 62870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62850 and 62870. First we will calculate the prime factors of 62850 and 62870.

Prime Factorization of 62850

Prime Factorization of 62870

Now multiplying the highest exponent prime factors to calculate the LCM of 62850 and 62870.

LCM(62850,62870) = 2¹ × 3¹ × 5² × 419¹ × 6287¹
LCM(62850,62870) = 395137950