What is the Least Common Multiple of 69054 and 69070?

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 69054 and 69070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69054 and 69070, than apply into the LCM equation.

GCF(69054,69070) = 2
LCM(69054,69070) = ( 69054 × 69070) / 2
LCM(69054,69070) = 4769559780 / 2
LCM(69054,69070) = 2384779890

Least Common Multiple (LCM) of 69054 and 69070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69054 and 69070. First we will calculate the prime factors of 69054 and 69070.

Prime Factorization of 69054

Prime Factorization of 69070

Now multiplying the highest exponent prime factors to calculate the LCM of 69054 and 69070.

LCM(69054,69070) = 2¹ × 3¹ × 17¹ × 677¹ × 5¹ × 6907¹
LCM(69054,69070) = 2384779890