What is the Least Common Multiple of 91692 and 91699?

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 91692 and 91699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91692 and 91699, than apply into the LCM equation.

GCF(91692,91699) = 1
LCM(91692,91699) = ( 91692 × 91699) / 1
LCM(91692,91699) = 8408064708 / 1
LCM(91692,91699) = 8408064708

Least Common Multiple (LCM) of 91692 and 91699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91692 and 91699. First we will calculate the prime factors of 91692 and 91699.

Prime Factorization of 91692

Prime Factorization of 91699

Now multiplying the highest exponent prime factors to calculate the LCM of 91692 and 91699.

LCM(91692,91699) = 2² × 3⁴ × 283¹ × 107¹ × 857¹
LCM(91692,91699) = 8408064708