What is the Least Common Multiple of 6250 and 6262?

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 6250 and 6262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6250 and 6262, than apply into the LCM equation.

GCF(6250,6262) = 2
LCM(6250,6262) = ( 6250 × 6262) / 2
LCM(6250,6262) = 39137500 / 2
LCM(6250,6262) = 19568750

Least Common Multiple (LCM) of 6250 and 6262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6250 and 6262. First we will calculate the prime factors of 6250 and 6262.

Prime Factorization of 6250

Prime Factorization of 6262

Now multiplying the highest exponent prime factors to calculate the LCM of 6250 and 6262.

LCM(6250,6262) = 2¹ × 5⁵ × 31¹ × 101¹
LCM(6250,6262) = 19568750