What is the Least Common Multiple of 44195 and 44210?

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 44195 and 44210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44195 and 44210, than apply into the LCM equation.

GCF(44195,44210) = 5
LCM(44195,44210) = ( 44195 × 44210) / 5
LCM(44195,44210) = 1953860950 / 5
LCM(44195,44210) = 390772190

Least Common Multiple (LCM) of 44195 and 44210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44195 and 44210. First we will calculate the prime factors of 44195 and 44210.

Prime Factorization of 44195

Prime Factorization of 44210

Now multiplying the highest exponent prime factors to calculate the LCM of 44195 and 44210.

LCM(44195,44210) = 5¹ × 8839¹ × 2¹ × 4421¹
LCM(44195,44210) = 390772190