What is the Least Common Multiple of 91730 and 91745?

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 91730 and 91745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91730 and 91745, than apply into the LCM equation.

GCF(91730,91745) = 5
LCM(91730,91745) = ( 91730 × 91745) / 5
LCM(91730,91745) = 8415768850 / 5
LCM(91730,91745) = 1683153770

Least Common Multiple (LCM) of 91730 and 91745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91730 and 91745. First we will calculate the prime factors of 91730 and 91745.

Prime Factorization of 91730

Prime Factorization of 91745

Now multiplying the highest exponent prime factors to calculate the LCM of 91730 and 91745.

LCM(91730,91745) = 2¹ × 5¹ × 9173¹ × 59¹ × 311¹
LCM(91730,91745) = 1683153770