GCF and LCM Calculator Logo

What is the Least Common Multiple of 56961 and 56969?

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 56961 and 56969 is 3245011209.

LCM(56961,56969) = 3245011209

LCM Calculator and
and

Least Common Multiple of 56961 and 56969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56961 and 56969, than apply into the LCM equation.

GCF(56961,56969) = 1
LCM(56961,56969) = ( 56961 × 56969) / 1
LCM(56961,56969) = 3245011209 / 1
LCM(56961,56969) = 3245011209

Least Common Multiple (LCM) of 56961 and 56969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56961 and 56969. First we will calculate the prime factors of 56961 and 56969.

Prime Factorization of 56961

Prime factors of 56961 are 3, 6329. Prime factorization of 56961 in exponential form is:

56961 = 32 × 63291

Prime Factorization of 56969

Prime factors of 56969 are 11, 5179. Prime factorization of 56969 in exponential form is:

56969 = 111 × 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 56961 and 56969.

LCM(56961,56969) = 32 × 63291 × 111 × 51791
LCM(56961,56969) = 3245011209