What is the Least Common Multiple of 47078 and 47092?

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 47078 and 47092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47078 and 47092, than apply into the LCM equation.

GCF(47078,47092) = 2
LCM(47078,47092) = ( 47078 × 47092) / 2
LCM(47078,47092) = 2216997176 / 2
LCM(47078,47092) = 1108498588

Least Common Multiple (LCM) of 47078 and 47092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47078 and 47092. First we will calculate the prime factors of 47078 and 47092.

Prime Factorization of 47078

Prime Factorization of 47092

Now multiplying the highest exponent prime factors to calculate the LCM of 47078 and 47092.

LCM(47078,47092) = 2² × 23539¹ × 61¹ × 193¹
LCM(47078,47092) = 1108498588