What is the Least Common Multiple of 51870 and 51890?

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 51870 and 51890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51870 and 51890, than apply into the LCM equation.

GCF(51870,51890) = 10
LCM(51870,51890) = ( 51870 × 51890) / 10
LCM(51870,51890) = 2691534300 / 10
LCM(51870,51890) = 269153430

Least Common Multiple (LCM) of 51870 and 51890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51870 and 51890. First we will calculate the prime factors of 51870 and 51890.

Prime Factorization of 51870

Prime Factorization of 51890

Now multiplying the highest exponent prime factors to calculate the LCM of 51870 and 51890.

LCM(51870,51890) = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 19¹ × 5189¹
LCM(51870,51890) = 269153430