GCF and LCM Calculator Logo

What is the Least Common Multiple of 30492 and 30499?

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 30492 and 30499 is 132853644.

LCM(30492,30499) = 132853644

LCM Calculator and
and

Least Common Multiple of 30492 and 30499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30492 and 30499, than apply into the LCM equation.

GCF(30492,30499) = 7
LCM(30492,30499) = ( 30492 × 30499) / 7
LCM(30492,30499) = 929975508 / 7
LCM(30492,30499) = 132853644

Least Common Multiple (LCM) of 30492 and 30499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30492 and 30499. First we will calculate the prime factors of 30492 and 30499.

Prime Factorization of 30492

Prime factors of 30492 are 2, 3, 7, 11. Prime factorization of 30492 in exponential form is:

30492 = 22 × 32 × 71 × 112

Prime Factorization of 30499

Prime factors of 30499 are 7, 4357. Prime factorization of 30499 in exponential form is:

30499 = 71 × 43571

Now multiplying the highest exponent prime factors to calculate the LCM of 30492 and 30499.

LCM(30492,30499) = 22 × 32 × 71 × 112 × 43571
LCM(30492,30499) = 132853644