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What is the Least Common Multiple of 65178 and 65197?

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 65178 and 65197 is 4249410066.

LCM(65178,65197) = 4249410066

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Least Common Multiple of 65178 and 65197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65178 and 65197, than apply into the LCM equation.

GCF(65178,65197) = 1
LCM(65178,65197) = ( 65178 × 65197) / 1
LCM(65178,65197) = 4249410066 / 1
LCM(65178,65197) = 4249410066

Least Common Multiple (LCM) of 65178 and 65197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65178 and 65197. First we will calculate the prime factors of 65178 and 65197.

Prime Factorization of 65178

Prime factors of 65178 are 2, 3, 17, 71. Prime factorization of 65178 in exponential form is:

65178 = 21 × 33 × 171 × 711

Prime Factorization of 65197

Prime factors of 65197 are 11, 5927. Prime factorization of 65197 in exponential form is:

65197 = 111 × 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 65178 and 65197.

LCM(65178,65197) = 21 × 33 × 171 × 711 × 111 × 59271
LCM(65178,65197) = 4249410066