What is the Least Common Multiple of 85438 and 85450?

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 85438 and 85450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85438 and 85450, than apply into the LCM equation.

GCF(85438,85450) = 2
LCM(85438,85450) = ( 85438 × 85450) / 2
LCM(85438,85450) = 7300677100 / 2
LCM(85438,85450) = 3650338550

Least Common Multiple (LCM) of 85438 and 85450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85438 and 85450. First we will calculate the prime factors of 85438 and 85450.

Prime Factorization of 85438

Prime Factorization of 85450

Now multiplying the highest exponent prime factors to calculate the LCM of 85438 and 85450.

LCM(85438,85450) = 2¹ × 42719¹ × 5² × 1709¹
LCM(85438,85450) = 3650338550