What is the Least Common Multiple of 1250 and 1260?

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 1250 and 1260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1250 and 1260, than apply into the LCM equation.

GCF(1250,1260) = 10
LCM(1250,1260) = ( 1250 × 1260) / 10
LCM(1250,1260) = 1575000 / 10
LCM(1250,1260) = 157500

Least Common Multiple (LCM) of 1250 and 1260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1250 and 1260. First we will calculate the prime factors of 1250 and 1260.

Prime Factorization of 1250

Prime Factorization of 1260

Now multiplying the highest exponent prime factors to calculate the LCM of 1250 and 1260.

LCM(1250,1260) = 2² × 5⁴ × 3² × 7¹
LCM(1250,1260) = 157500