GCF and LCM Calculator Logo

What is the Least Common Multiple of 91480 and 91494?

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 (LCM) of 91480 and 91494 is 4184935560.

LCM(91480,91494) = 4184935560

LCM Calculator and
and

Least Common Multiple of 91480 and 91494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91480 and 91494, than apply into the LCM equation.

GCF(91480,91494) = 2
LCM(91480,91494) = ( 91480 × 91494) / 2
LCM(91480,91494) = 8369871120 / 2
LCM(91480,91494) = 4184935560

Least Common Multiple (LCM) of 91480 and 91494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91480 and 91494. First we will calculate the prime factors of 91480 and 91494.

Prime Factorization of 91480

Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:

91480 = 23 × 51 × 22871

Prime Factorization of 91494

Prime factors of 91494 are 2, 3, 13, 17, 23. Prime factorization of 91494 in exponential form is:

91494 = 21 × 32 × 131 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 91480 and 91494.

LCM(91480,91494) = 23 × 51 × 22871 × 32 × 131 × 171 × 231
LCM(91480,91494) = 4184935560