What is the Least Common Multiple of 51870 and 51888?

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 51888 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 51888, than apply into the LCM equation.

GCF(51870,51888) = 6
LCM(51870,51888) = ( 51870 × 51888) / 6
LCM(51870,51888) = 2691430560 / 6
LCM(51870,51888) = 448571760

Least Common Multiple (LCM) of 51870 and 51888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51870 and 51888. First we will calculate the prime factors of 51870 and 51888.

Prime Factorization of 51870

Prime Factorization of 51888

Now multiplying the highest exponent prime factors to calculate the LCM of 51870 and 51888.

LCM(51870,51888) = 2⁴ × 3¹ × 5¹ × 7¹ × 13¹ × 19¹ × 23¹ × 47¹
LCM(51870,51888) = 448571760