What is the Least Common Multiple of 63501 and 63519?

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 63501 and 63519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63501 and 63519, than apply into the LCM equation.

GCF(63501,63519) = 3
LCM(63501,63519) = ( 63501 × 63519) / 3
LCM(63501,63519) = 4033520019 / 3
LCM(63501,63519) = 1344506673

Least Common Multiple (LCM) of 63501 and 63519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63501 and 63519. First we will calculate the prime factors of 63501 and 63519.

Prime Factorization of 63501

Prime Factorization of 63519

Now multiplying the highest exponent prime factors to calculate the LCM of 63501 and 63519.

LCM(63501,63519) = 3¹ × 61¹ × 347¹ × 31¹ × 683¹
LCM(63501,63519) = 1344506673