What is the Least Common Multiple of 28 and 146?

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 28 and 146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28 and 146, than apply into the LCM equation.

GCF(28,146) = 2
LCM(28,146) = ( 28 × 146) / 2
LCM(28,146) = 4088 / 2
LCM(28,146) = 2044

Least Common Multiple (LCM) of 28 and 146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28 and 146. First we will calculate the prime factors of 28 and 146.

Prime Factorization of 28

Prime Factorization of 146

Now multiplying the highest exponent prime factors to calculate the LCM of 28 and 146.

LCM(28,146) = 2² × 7¹ × 73¹
LCM(28,146) = 2044