What is the Least Common Multiple of 47046 and 47050?

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 47046 and 47050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47046 and 47050, than apply into the LCM equation.

GCF(47046,47050) = 2
LCM(47046,47050) = ( 47046 × 47050) / 2
LCM(47046,47050) = 2213514300 / 2
LCM(47046,47050) = 1106757150

Least Common Multiple (LCM) of 47046 and 47050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47046 and 47050. First we will calculate the prime factors of 47046 and 47050.

Prime Factorization of 47046

Prime Factorization of 47050

Now multiplying the highest exponent prime factors to calculate the LCM of 47046 and 47050.

LCM(47046,47050) = 2¹ × 3¹ × 7841¹ × 5² × 941¹
LCM(47046,47050) = 1106757150