What is the Least Common Multiple of 91840 and 91854?

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 91840 and 91854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91840 and 91854, than apply into the LCM equation.

GCF(91840,91854) = 14
LCM(91840,91854) = ( 91840 × 91854) / 14
LCM(91840,91854) = 8435871360 / 14
LCM(91840,91854) = 602562240

Least Common Multiple (LCM) of 91840 and 91854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91840 and 91854. First we will calculate the prime factors of 91840 and 91854.

Prime Factorization of 91840

Prime Factorization of 91854

Now multiplying the highest exponent prime factors to calculate the LCM of 91840 and 91854.

LCM(91840,91854) = 2⁶ × 5¹ × 7¹ × 41¹ × 3⁸
LCM(91840,91854) = 602562240