What is the Least Common Multiple of 92046 and 92050?

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 92046 and 92050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92046 and 92050, than apply into the LCM equation.

GCF(92046,92050) = 2
LCM(92046,92050) = ( 92046 × 92050) / 2
LCM(92046,92050) = 8472834300 / 2
LCM(92046,92050) = 4236417150

Least Common Multiple (LCM) of 92046 and 92050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92046 and 92050. First we will calculate the prime factors of 92046 and 92050.

Prime Factorization of 92046

Prime Factorization of 92050

Now multiplying the highest exponent prime factors to calculate the LCM of 92046 and 92050.

LCM(92046,92050) = 2¹ × 3¹ × 23² × 29¹ × 5² × 7¹ × 263¹
LCM(92046,92050) = 4236417150