What is the Least Common Multiple of 66100 and 66105?

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 66100 and 66105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66100 and 66105, than apply into the LCM equation.

GCF(66100,66105) = 5
LCM(66100,66105) = ( 66100 × 66105) / 5
LCM(66100,66105) = 4369540500 / 5
LCM(66100,66105) = 873908100

Least Common Multiple (LCM) of 66100 and 66105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66100 and 66105. First we will calculate the prime factors of 66100 and 66105.

Prime Factorization of 66100

Prime Factorization of 66105

Now multiplying the highest exponent prime factors to calculate the LCM of 66100 and 66105.

LCM(66100,66105) = 2² × 5² × 661¹ × 3² × 13¹ × 113¹
LCM(66100,66105) = 873908100