What is the Least Common Multiple of 66936 and 66941?

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 66936 and 66941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66936 and 66941, than apply into the LCM equation.

GCF(66936,66941) = 1
LCM(66936,66941) = ( 66936 × 66941) / 1
LCM(66936,66941) = 4480762776 / 1
LCM(66936,66941) = 4480762776

Least Common Multiple (LCM) of 66936 and 66941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66936 and 66941. First we will calculate the prime factors of 66936 and 66941.

Prime Factorization of 66936

Prime Factorization of 66941

Now multiplying the highest exponent prime factors to calculate the LCM of 66936 and 66941.

LCM(66936,66941) = 2³ × 3¹ × 2789¹ × 7¹ × 73¹ × 131¹
LCM(66936,66941) = 4480762776