What is the Least Common Multiple of 4142 and 4148?

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 4142 and 4148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4142 and 4148, than apply into the LCM equation.

GCF(4142,4148) = 2
LCM(4142,4148) = ( 4142 × 4148) / 2
LCM(4142,4148) = 17181016 / 2
LCM(4142,4148) = 8590508

Least Common Multiple (LCM) of 4142 and 4148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4142 and 4148. First we will calculate the prime factors of 4142 and 4148.

Prime Factorization of 4142

Prime Factorization of 4148

Now multiplying the highest exponent prime factors to calculate the LCM of 4142 and 4148.

LCM(4142,4148) = 2² × 19¹ × 109¹ × 17¹ × 61¹
LCM(4142,4148) = 8590508