What is the Least Common Multiple of 90050 and 90062?

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 90050 and 90062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90050 and 90062, than apply into the LCM equation.

GCF(90050,90062) = 2
LCM(90050,90062) = ( 90050 × 90062) / 2
LCM(90050,90062) = 8110083100 / 2
LCM(90050,90062) = 4055041550

Least Common Multiple (LCM) of 90050 and 90062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90050 and 90062. First we will calculate the prime factors of 90050 and 90062.

Prime Factorization of 90050

Prime Factorization of 90062

Now multiplying the highest exponent prime factors to calculate the LCM of 90050 and 90062.

LCM(90050,90062) = 2¹ × 5² × 1801¹ × 7² × 919¹
LCM(90050,90062) = 4055041550