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What is the Least Common Multiple of 65550 and 65560?

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 (LCM) of 65550 and 65560 is 429745800.

LCM(65550,65560) = 429745800

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Least Common Multiple of 65550 and 65560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65550 and 65560, than apply into the LCM equation.

GCF(65550,65560) = 10
LCM(65550,65560) = ( 65550 × 65560) / 10
LCM(65550,65560) = 4297458000 / 10
LCM(65550,65560) = 429745800

Least Common Multiple (LCM) of 65550 and 65560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65550 and 65560. First we will calculate the prime factors of 65550 and 65560.

Prime Factorization of 65550

Prime factors of 65550 are 2, 3, 5, 19, 23. Prime factorization of 65550 in exponential form is:

65550 = 21 × 31 × 52 × 191 × 231

Prime Factorization of 65560

Prime factors of 65560 are 2, 5, 11, 149. Prime factorization of 65560 in exponential form is:

65560 = 23 × 51 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 65550 and 65560.

LCM(65550,65560) = 23 × 31 × 52 × 191 × 231 × 111 × 1491
LCM(65550,65560) = 429745800