What is the Least Common Multiple of 25035 and 25050?

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 25035 and 25050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25035 and 25050, than apply into the LCM equation.

GCF(25035,25050) = 15
LCM(25035,25050) = ( 25035 × 25050) / 15
LCM(25035,25050) = 627126750 / 15
LCM(25035,25050) = 41808450

Least Common Multiple (LCM) of 25035 and 25050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25035 and 25050. First we will calculate the prime factors of 25035 and 25050.

Prime Factorization of 25035

Prime Factorization of 25050

Now multiplying the highest exponent prime factors to calculate the LCM of 25035 and 25050.

LCM(25035,25050) = 3¹ × 5² × 1669¹ × 2¹ × 167¹
LCM(25035,25050) = 41808450