What is the Least Common Multiple of 69510 and 69519?

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 69510 and 69519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69510 and 69519, than apply into the LCM equation.

GCF(69510,69519) = 3
LCM(69510,69519) = ( 69510 × 69519) / 3
LCM(69510,69519) = 4832265690 / 3
LCM(69510,69519) = 1610755230

Least Common Multiple (LCM) of 69510 and 69519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69510 and 69519. First we will calculate the prime factors of 69510 and 69519.

Prime Factorization of 69510

Prime Factorization of 69519

Now multiplying the highest exponent prime factors to calculate the LCM of 69510 and 69519.

LCM(69510,69519) = 2¹ × 3¹ × 5¹ × 7¹ × 331¹ × 23173¹
LCM(69510,69519) = 1610755230