What is the Least Common Multiple of 76465 and 76476?
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 76465 and 76476 is 5847737340.
LCM(76465,76476) = 5847737340
Least Common Multiple of 76465 and 76476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76465 and 76476, than apply into the LCM equation.
GCF(76465,76476) = 1
LCM(76465,76476) = ( 76465 × 76476) / 1
LCM(76465,76476) = 5847737340 / 1
LCM(76465,76476) = 5847737340
Least Common Multiple (LCM) of 76465 and 76476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76465 and 76476. First we will calculate the prime factors of 76465 and 76476.
Prime Factorization of 76465
Prime factors of 76465 are 5, 41, 373. Prime factorization of 76465 in exponential form is:
76465 = 51 × 411 × 3731
Prime Factorization of 76476
Prime factors of 76476 are 2, 3, 6373. Prime factorization of 76476 in exponential form is:
76476 = 22 × 31 × 63731
Now multiplying the highest exponent prime factors to calculate the LCM of 76465 and 76476.
LCM(76465,76476) = 51 × 411 × 3731 × 22 × 31 × 63731
LCM(76465,76476) = 5847737340
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