What is the Least Common Multiple of 52998 and 53009?

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 52998 and 53009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52998 and 53009, than apply into the LCM equation.

GCF(52998,53009) = 11
LCM(52998,53009) = ( 52998 × 53009) / 11
LCM(52998,53009) = 2809370982 / 11
LCM(52998,53009) = 255397362

Least Common Multiple (LCM) of 52998 and 53009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52998 and 53009. First we will calculate the prime factors of 52998 and 53009.

Prime Factorization of 52998

Prime Factorization of 53009

Now multiplying the highest exponent prime factors to calculate the LCM of 52998 and 53009.

LCM(52998,53009) = 2¹ × 3¹ × 11² × 73¹ × 61¹ × 79¹
LCM(52998,53009) = 255397362