What is the Least Common Multiple of 63046 and 63050?

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 63046 and 63050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63046 and 63050, than apply into the LCM equation.

GCF(63046,63050) = 2
LCM(63046,63050) = ( 63046 × 63050) / 2
LCM(63046,63050) = 3975050300 / 2
LCM(63046,63050) = 1987525150

Least Common Multiple (LCM) of 63046 and 63050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63046 and 63050. First we will calculate the prime factors of 63046 and 63050.

Prime Factorization of 63046

Prime Factorization of 63050

Now multiplying the highest exponent prime factors to calculate the LCM of 63046 and 63050.

LCM(63046,63050) = 2¹ × 29¹ × 1087¹ × 5² × 13¹ × 97¹
LCM(63046,63050) = 1987525150