What is the Least Common Multiple of 9100 and 9105?

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 9100 and 9105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9100 and 9105, than apply into the LCM equation.

GCF(9100,9105) = 5
LCM(9100,9105) = ( 9100 × 9105) / 5
LCM(9100,9105) = 82855500 / 5
LCM(9100,9105) = 16571100

Least Common Multiple (LCM) of 9100 and 9105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9100 and 9105. First we will calculate the prime factors of 9100 and 9105.

Prime Factorization of 9100

Prime Factorization of 9105

Now multiplying the highest exponent prime factors to calculate the LCM of 9100 and 9105.

LCM(9100,9105) = 2² × 5² × 7¹ × 13¹ × 3¹ × 607¹
LCM(9100,9105) = 16571100