What is the Least Common Multiple of 95050 and 95054?

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 95050 and 95054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95050 and 95054, than apply into the LCM equation.

GCF(95050,95054) = 2
LCM(95050,95054) = ( 95050 × 95054) / 2
LCM(95050,95054) = 9034882700 / 2
LCM(95050,95054) = 4517441350

Least Common Multiple (LCM) of 95050 and 95054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95050 and 95054. First we will calculate the prime factors of 95050 and 95054.

Prime Factorization of 95050

Prime Factorization of 95054

Now multiplying the highest exponent prime factors to calculate the LCM of 95050 and 95054.

LCM(95050,95054) = 2¹ × 5² × 1901¹ × 47527¹
LCM(95050,95054) = 4517441350