What is the Least Common Multiple of 71032 and 71050?

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 71032 and 71050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71032 and 71050, than apply into the LCM equation.

GCF(71032,71050) = 2
LCM(71032,71050) = ( 71032 × 71050) / 2
LCM(71032,71050) = 5046823600 / 2
LCM(71032,71050) = 2523411800

Least Common Multiple (LCM) of 71032 and 71050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71032 and 71050. First we will calculate the prime factors of 71032 and 71050.

Prime Factorization of 71032

Prime Factorization of 71050

Now multiplying the highest exponent prime factors to calculate the LCM of 71032 and 71050.

LCM(71032,71050) = 2³ × 13¹ × 683¹ × 5² × 7² × 29¹
LCM(71032,71050) = 2523411800