What is the Least Common Multiple of 73870 and 73878?

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 73870 and 73878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73870 and 73878, than apply into the LCM equation.

GCF(73870,73878) = 2
LCM(73870,73878) = ( 73870 × 73878) / 2
LCM(73870,73878) = 5457367860 / 2
LCM(73870,73878) = 2728683930

Least Common Multiple (LCM) of 73870 and 73878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73870 and 73878. First we will calculate the prime factors of 73870 and 73878.

Prime Factorization of 73870

Prime Factorization of 73878

Now multiplying the highest exponent prime factors to calculate the LCM of 73870 and 73878.

LCM(73870,73878) = 2¹ × 5¹ × 83¹ × 89¹ × 3¹ × 7¹ × 1759¹
LCM(73870,73878) = 2728683930