What is the Least Common Multiple of 37646 and 37661?

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 37646 and 37661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37646 and 37661, than apply into the LCM equation.

GCF(37646,37661) = 1
LCM(37646,37661) = ( 37646 × 37661) / 1
LCM(37646,37661) = 1417786006 / 1
LCM(37646,37661) = 1417786006

Least Common Multiple (LCM) of 37646 and 37661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37646 and 37661. First we will calculate the prime factors of 37646 and 37661.

Prime Factorization of 37646

Prime Factorization of 37661

Now multiplying the highest exponent prime factors to calculate the LCM of 37646 and 37661.

LCM(37646,37661) = 2¹ × 7¹ × 2689¹ × 13¹ × 2897¹
LCM(37646,37661) = 1417786006