What is the Least Common Multiple of 76615 and 76620?
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 76615 and 76620 is 1174048260.
LCM(76615,76620) = 1174048260
Least Common Multiple of 76615 and 76620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76615 and 76620, than apply into the LCM equation.
GCF(76615,76620) = 5
LCM(76615,76620) = ( 76615 × 76620) / 5
LCM(76615,76620) = 5870241300 / 5
LCM(76615,76620) = 1174048260
Least Common Multiple (LCM) of 76615 and 76620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76615 and 76620. First we will calculate the prime factors of 76615 and 76620.
Prime Factorization of 76615
Prime factors of 76615 are 5, 7, 11, 199. Prime factorization of 76615 in exponential form is:
76615 = 51 × 71 × 111 × 1991
Prime Factorization of 76620
Prime factors of 76620 are 2, 3, 5, 1277. Prime factorization of 76620 in exponential form is:
76620 = 22 × 31 × 51 × 12771
Now multiplying the highest exponent prime factors to calculate the LCM of 76615 and 76620.
LCM(76615,76620) = 51 × 71 × 111 × 1991 × 22 × 31 × 12771
LCM(76615,76620) = 1174048260
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