What is the Least Common Multiple of 71889 and 71900?

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 of 71889 and 71900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71889 and 71900, than apply into the LCM equation.

GCF(71889,71900) = 1
LCM(71889,71900) = ( 71889 × 71900) / 1
LCM(71889,71900) = 5168819100 / 1
LCM(71889,71900) = 5168819100

Least Common Multiple (LCM) of 71889 and 71900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71889 and 71900. First we will calculate the prime factors of 71889 and 71900.

Prime Factorization of 71889

Prime Factorization of 71900

Now multiplying the highest exponent prime factors to calculate the LCM of 71889 and 71900.

LCM(71889,71900) = 3¹ × 31¹ × 773¹ × 2² × 5² × 719¹
LCM(71889,71900) = 5168819100