What is the Least Common Multiple of 34102 and 34119?

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 34102 and 34119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34102 and 34119, than apply into the LCM equation.

GCF(34102,34119) = 17
LCM(34102,34119) = ( 34102 × 34119) / 17
LCM(34102,34119) = 1163526138 / 17
LCM(34102,34119) = 68442714

Least Common Multiple (LCM) of 34102 and 34119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34102 and 34119. First we will calculate the prime factors of 34102 and 34119.

Prime Factorization of 34102

Prime Factorization of 34119

Now multiplying the highest exponent prime factors to calculate the LCM of 34102 and 34119.

LCM(34102,34119) = 2¹ × 17² × 59¹ × 3² × 223¹
LCM(34102,34119) = 68442714