What is the Least Common Multiple of 3642 and 3647?

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 3642 and 3647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3642 and 3647, than apply into the LCM equation.

GCF(3642,3647) = 1
LCM(3642,3647) = ( 3642 × 3647) / 1
LCM(3642,3647) = 13282374 / 1
LCM(3642,3647) = 13282374

Least Common Multiple (LCM) of 3642 and 3647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3642 and 3647. First we will calculate the prime factors of 3642 and 3647.

Prime Factorization of 3642

Prime Factorization of 3647

Now multiplying the highest exponent prime factors to calculate the LCM of 3642 and 3647.

LCM(3642,3647) = 2¹ × 3¹ × 607¹ × 7¹ × 521¹
LCM(3642,3647) = 13282374