What is the Least Common Multiple of 52702 and 52715?

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 52702 and 52715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52702 and 52715, than apply into the LCM equation.

GCF(52702,52715) = 13
LCM(52702,52715) = ( 52702 × 52715) / 13
LCM(52702,52715) = 2778185930 / 13
LCM(52702,52715) = 213706610

Least Common Multiple (LCM) of 52702 and 52715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52702 and 52715. First we will calculate the prime factors of 52702 and 52715.

Prime Factorization of 52702

Prime Factorization of 52715

Now multiplying the highest exponent prime factors to calculate the LCM of 52702 and 52715.

LCM(52702,52715) = 2¹ × 13¹ × 2027¹ × 5¹ × 811¹
LCM(52702,52715) = 213706610