What is the Least Common Multiple of 60870 and 60880?

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 60870 and 60880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60870 and 60880, than apply into the LCM equation.

GCF(60870,60880) = 10
LCM(60870,60880) = ( 60870 × 60880) / 10
LCM(60870,60880) = 3705765600 / 10
LCM(60870,60880) = 370576560

Least Common Multiple (LCM) of 60870 and 60880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60870 and 60880. First we will calculate the prime factors of 60870 and 60880.

Prime Factorization of 60870

Prime Factorization of 60880

Now multiplying the highest exponent prime factors to calculate the LCM of 60870 and 60880.

LCM(60870,60880) = 2⁴ × 3¹ × 5¹ × 2029¹ × 761¹
LCM(60870,60880) = 370576560