What is the Least Common Multiple of 91900 and 91920?

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 91900 and 91920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91900 and 91920, than apply into the LCM equation.

GCF(91900,91920) = 20
LCM(91900,91920) = ( 91900 × 91920) / 20
LCM(91900,91920) = 8447448000 / 20
LCM(91900,91920) = 422372400

Least Common Multiple (LCM) of 91900 and 91920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91900 and 91920. First we will calculate the prime factors of 91900 and 91920.

Prime Factorization of 91900

Prime Factorization of 91920

Now multiplying the highest exponent prime factors to calculate the LCM of 91900 and 91920.

LCM(91900,91920) = 2⁴ × 5² × 919¹ × 3¹ × 383¹
LCM(91900,91920) = 422372400