GCF and LCM Calculator Logo

What is the Least Common Multiple of 91922 and 91940?

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 91922 and 91940 is 4225654340.

LCM(91922,91940) = 4225654340

LCM Calculator and
and

Least Common Multiple of 91922 and 91940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91922 and 91940, than apply into the LCM equation.

GCF(91922,91940) = 2
LCM(91922,91940) = ( 91922 × 91940) / 2
LCM(91922,91940) = 8451308680 / 2
LCM(91922,91940) = 4225654340

Least Common Multiple (LCM) of 91922 and 91940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91922 and 91940. First we will calculate the prime factors of 91922 and 91940.

Prime Factorization of 91922

Prime factors of 91922 are 2, 19, 41, 59. Prime factorization of 91922 in exponential form is:

91922 = 21 × 191 × 411 × 591

Prime Factorization of 91940

Prime factors of 91940 are 2, 5, 4597. Prime factorization of 91940 in exponential form is:

91940 = 22 × 51 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 91922 and 91940.

LCM(91922,91940) = 22 × 191 × 411 × 591 × 51 × 45971
LCM(91922,91940) = 4225654340