What is the Least Common Multiple of 45759 and 45778?

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 45759 and 45778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45759 and 45778, than apply into the LCM equation.

GCF(45759,45778) = 1
LCM(45759,45778) = ( 45759 × 45778) / 1
LCM(45759,45778) = 2094755502 / 1
LCM(45759,45778) = 2094755502

Least Common Multiple (LCM) of 45759 and 45778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45759 and 45778. First we will calculate the prime factors of 45759 and 45778.

Prime Factorization of 45759

Prime Factorization of 45778

Now multiplying the highest exponent prime factors to calculate the LCM of 45759 and 45778.

LCM(45759,45778) = 3¹ × 7¹ × 2179¹ × 2¹ × 47¹ × 487¹
LCM(45759,45778) = 2094755502