What is the Least Common Multiple of 73675 and 73694?

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 73675 and 73694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73675 and 73694, than apply into the LCM equation.

GCF(73675,73694) = 1
LCM(73675,73694) = ( 73675 × 73694) / 1
LCM(73675,73694) = 5429405450 / 1
LCM(73675,73694) = 5429405450

Least Common Multiple (LCM) of 73675 and 73694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73675 and 73694. First we will calculate the prime factors of 73675 and 73694.

Prime Factorization of 73675

Prime Factorization of 73694

Now multiplying the highest exponent prime factors to calculate the LCM of 73675 and 73694.

LCM(73675,73694) = 5² × 7¹ × 421¹ × 2¹ × 36847¹
LCM(73675,73694) = 5429405450