What is the Least Common Multiple of 94738 and 94745?

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 94738 and 94745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94738 and 94745, than apply into the LCM equation.

GCF(94738,94745) = 7
LCM(94738,94745) = ( 94738 × 94745) / 7
LCM(94738,94745) = 8975951810 / 7
LCM(94738,94745) = 1282278830

Least Common Multiple (LCM) of 94738 and 94745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94738 and 94745. First we will calculate the prime factors of 94738 and 94745.

Prime Factorization of 94738

Prime Factorization of 94745

Now multiplying the highest exponent prime factors to calculate the LCM of 94738 and 94745.

LCM(94738,94745) = 2¹ × 7¹ × 67¹ × 101¹ × 5¹ × 2707¹
LCM(94738,94745) = 1282278830