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What is the Least Common Multiple of 91274 and 91278?

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 91274 and 91278 is 4165654086.

LCM(91274,91278) = 4165654086

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Least Common Multiple of 91274 and 91278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91274 and 91278, than apply into the LCM equation.

GCF(91274,91278) = 2
LCM(91274,91278) = ( 91274 × 91278) / 2
LCM(91274,91278) = 8331308172 / 2
LCM(91274,91278) = 4165654086

Least Common Multiple (LCM) of 91274 and 91278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91274 and 91278. First we will calculate the prime factors of 91274 and 91278.

Prime Factorization of 91274

Prime factors of 91274 are 2, 47, 971. Prime factorization of 91274 in exponential form is:

91274 = 21 × 471 × 9711

Prime Factorization of 91278

Prime factors of 91278 are 2, 3, 11, 461. Prime factorization of 91278 in exponential form is:

91278 = 21 × 32 × 111 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 91274 and 91278.

LCM(91274,91278) = 21 × 471 × 9711 × 32 × 111 × 4611
LCM(91274,91278) = 4165654086