What is the Least Common Multiple of 52759 and 52778?

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 52759 and 52778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52759 and 52778, than apply into the LCM equation.

GCF(52759,52778) = 1
LCM(52759,52778) = ( 52759 × 52778) / 1
LCM(52759,52778) = 2784514502 / 1
LCM(52759,52778) = 2784514502

Least Common Multiple (LCM) of 52759 and 52778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52759 and 52778. First we will calculate the prime factors of 52759 and 52778.

Prime Factorization of 52759

Prime Factorization of 52778

Now multiplying the highest exponent prime factors to calculate the LCM of 52759 and 52778.

LCM(52759,52778) = 7¹ × 7537¹ × 2¹ × 11¹ × 2399¹
LCM(52759,52778) = 2784514502