GCF and LCM Calculator Logo

What is the Least Common Multiple of 31034 and 31050?

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 31034 and 31050 is 481802850.

LCM(31034,31050) = 481802850

LCM Calculator and
and

Least Common Multiple of 31034 and 31050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31034 and 31050, than apply into the LCM equation.

GCF(31034,31050) = 2
LCM(31034,31050) = ( 31034 × 31050) / 2
LCM(31034,31050) = 963605700 / 2
LCM(31034,31050) = 481802850

Least Common Multiple (LCM) of 31034 and 31050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31034 and 31050. First we will calculate the prime factors of 31034 and 31050.

Prime Factorization of 31034

Prime factors of 31034 are 2, 59, 263. Prime factorization of 31034 in exponential form is:

31034 = 21 × 591 × 2631

Prime Factorization of 31050

Prime factors of 31050 are 2, 3, 5, 23. Prime factorization of 31050 in exponential form is:

31050 = 21 × 33 × 52 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 31034 and 31050.

LCM(31034,31050) = 21 × 591 × 2631 × 33 × 52 × 231
LCM(31034,31050) = 481802850