GCF and LCM Calculator Logo

What is the Least Common Multiple of 91942 and 91952?

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 91942 and 91952 is 4227125392.

LCM(91942,91952) = 4227125392

LCM Calculator and
and

Least Common Multiple of 91942 and 91952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91942 and 91952, than apply into the LCM equation.

GCF(91942,91952) = 2
LCM(91942,91952) = ( 91942 × 91952) / 2
LCM(91942,91952) = 8454250784 / 2
LCM(91942,91952) = 4227125392

Least Common Multiple (LCM) of 91942 and 91952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91942 and 91952. First we will calculate the prime factors of 91942 and 91952.

Prime Factorization of 91942

Prime factors of 91942 are 2, 45971. Prime factorization of 91942 in exponential form is:

91942 = 21 × 459711

Prime Factorization of 91952

Prime factors of 91952 are 2, 7, 821. Prime factorization of 91952 in exponential form is:

91952 = 24 × 71 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 91942 and 91952.

LCM(91942,91952) = 24 × 459711 × 71 × 8211
LCM(91942,91952) = 4227125392