What is the Least Common Multiple of 75142 and 75159?

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 75142 and 75159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75142 and 75159, than apply into the LCM equation.

GCF(75142,75159) = 1
LCM(75142,75159) = ( 75142 × 75159) / 1
LCM(75142,75159) = 5647597578 / 1
LCM(75142,75159) = 5647597578

Least Common Multiple (LCM) of 75142 and 75159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75142 and 75159. First we will calculate the prime factors of 75142 and 75159.

Prime Factorization of 75142

Prime Factorization of 75159

Now multiplying the highest exponent prime factors to calculate the LCM of 75142 and 75159.

LCM(75142,75159) = 2¹ × 37571¹ × 3² × 7¹ × 1193¹
LCM(75142,75159) = 5647597578