What is the Least Common Multiple of 44170 and 44177?

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 44170 and 44177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44170 and 44177, than apply into the LCM equation.

GCF(44170,44177) = 7
LCM(44170,44177) = ( 44170 × 44177) / 7
LCM(44170,44177) = 1951298090 / 7
LCM(44170,44177) = 278756870

Least Common Multiple (LCM) of 44170 and 44177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44170 and 44177. First we will calculate the prime factors of 44170 and 44177.

Prime Factorization of 44170

Prime Factorization of 44177

Now multiplying the highest exponent prime factors to calculate the LCM of 44170 and 44177.

LCM(44170,44177) = 2¹ × 5¹ × 7¹ × 631¹ × 6311¹
LCM(44170,44177) = 278756870