GCF and LCM Calculator Logo

What is the Least Common Multiple of 50722 and 50730?

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 50722 and 50730 is 1286563530.

LCM(50722,50730) = 1286563530

LCM Calculator and
and

Least Common Multiple of 50722 and 50730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50722 and 50730, than apply into the LCM equation.

GCF(50722,50730) = 2
LCM(50722,50730) = ( 50722 × 50730) / 2
LCM(50722,50730) = 2573127060 / 2
LCM(50722,50730) = 1286563530

Least Common Multiple (LCM) of 50722 and 50730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50722 and 50730. First we will calculate the prime factors of 50722 and 50730.

Prime Factorization of 50722

Prime factors of 50722 are 2, 7, 3623. Prime factorization of 50722 in exponential form is:

50722 = 21 × 71 × 36231

Prime Factorization of 50730

Prime factors of 50730 are 2, 3, 5, 19, 89. Prime factorization of 50730 in exponential form is:

50730 = 21 × 31 × 51 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 50722 and 50730.

LCM(50722,50730) = 21 × 71 × 36231 × 31 × 51 × 191 × 891
LCM(50722,50730) = 1286563530