What is the Least Common Multiple of 66665 and 66674?

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 66665 and 66674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66665 and 66674, than apply into the LCM equation.

GCF(66665,66674) = 1
LCM(66665,66674) = ( 66665 × 66674) / 1
LCM(66665,66674) = 4444822210 / 1
LCM(66665,66674) = 4444822210

Least Common Multiple (LCM) of 66665 and 66674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66665 and 66674. First we will calculate the prime factors of 66665 and 66674.

Prime Factorization of 66665

Prime Factorization of 66674

Now multiplying the highest exponent prime factors to calculate the LCM of 66665 and 66674.

LCM(66665,66674) = 5¹ × 67¹ × 199¹ × 2¹ × 17¹ × 37¹ × 53¹
LCM(66665,66674) = 4444822210