What is the Least Common Multiple of 53414 and 53429?

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 53414 and 53429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53414 and 53429, than apply into the LCM equation.

GCF(53414,53429) = 1
LCM(53414,53429) = ( 53414 × 53429) / 1
LCM(53414,53429) = 2853856606 / 1
LCM(53414,53429) = 2853856606

Least Common Multiple (LCM) of 53414 and 53429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53414 and 53429. First we will calculate the prime factors of 53414 and 53429.

Prime Factorization of 53414

Prime Factorization of 53429

Now multiplying the highest exponent prime factors to calculate the LCM of 53414 and 53429.

LCM(53414,53429) = 2¹ × 17¹ × 1571¹ × 23² × 101¹
LCM(53414,53429) = 2853856606