What is the Least Common Multiple of 66794 and 66801?

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 66794 and 66801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66794 and 66801, than apply into the LCM equation.

GCF(66794,66801) = 7
LCM(66794,66801) = ( 66794 × 66801) / 7
LCM(66794,66801) = 4461905994 / 7
LCM(66794,66801) = 637415142

Least Common Multiple (LCM) of 66794 and 66801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66794 and 66801. First we will calculate the prime factors of 66794 and 66801.

Prime Factorization of 66794

Prime Factorization of 66801

Now multiplying the highest exponent prime factors to calculate the LCM of 66794 and 66801.

LCM(66794,66801) = 2¹ × 7¹ × 13¹ × 367¹ × 3¹ × 3181¹
LCM(66794,66801) = 637415142