What is the Least Common Multiple of 69102 and 69109?

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 69102 and 69109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69102 and 69109, than apply into the LCM equation.

GCF(69102,69109) = 1
LCM(69102,69109) = ( 69102 × 69109) / 1
LCM(69102,69109) = 4775570118 / 1
LCM(69102,69109) = 4775570118

Least Common Multiple (LCM) of 69102 and 69109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69102 and 69109. First we will calculate the prime factors of 69102 and 69109.

Prime Factorization of 69102

Prime Factorization of 69109

Now multiplying the highest exponent prime factors to calculate the LCM of 69102 and 69109.

LCM(69102,69109) = 2¹ × 3² × 11¹ × 349¹ × 69109¹
LCM(69102,69109) = 4775570118