What is the Least Common Multiple of 35652 and 35666?

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 35652 and 35666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35652 and 35666, than apply into the LCM equation.

GCF(35652,35666) = 2
LCM(35652,35666) = ( 35652 × 35666) / 2
LCM(35652,35666) = 1271564232 / 2
LCM(35652,35666) = 635782116

Least Common Multiple (LCM) of 35652 and 35666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35652 and 35666. First we will calculate the prime factors of 35652 and 35666.

Prime Factorization of 35652

Prime Factorization of 35666

Now multiplying the highest exponent prime factors to calculate the LCM of 35652 and 35666.

LCM(35652,35666) = 2² × 3¹ × 2971¹ × 17¹ × 1049¹
LCM(35652,35666) = 635782116