What is the Least Common Multiple of 51070 and 51078?

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 51070 and 51078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51070 and 51078, than apply into the LCM equation.

GCF(51070,51078) = 2
LCM(51070,51078) = ( 51070 × 51078) / 2
LCM(51070,51078) = 2608553460 / 2
LCM(51070,51078) = 1304276730

Least Common Multiple (LCM) of 51070 and 51078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51070 and 51078. First we will calculate the prime factors of 51070 and 51078.

Prime Factorization of 51070

Prime Factorization of 51078

Now multiplying the highest exponent prime factors to calculate the LCM of 51070 and 51078.

LCM(51070,51078) = 2¹ × 5¹ × 5107¹ × 3¹ × 8513¹
LCM(51070,51078) = 1304276730