What is the Least Common Multiple of 78483 and 78502?
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 78483 and 78502 is 6161072466.
LCM(78483,78502) = 6161072466
Least Common Multiple of 78483 and 78502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78483 and 78502, than apply into the LCM equation.
GCF(78483,78502) = 1
LCM(78483,78502) = ( 78483 × 78502) / 1
LCM(78483,78502) = 6161072466 / 1
LCM(78483,78502) = 6161072466
Least Common Multiple (LCM) of 78483 and 78502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78483 and 78502. First we will calculate the prime factors of 78483 and 78502.
Prime Factorization of 78483
Prime factors of 78483 are 3, 26161. Prime factorization of 78483 in exponential form is:
78483 = 31 × 261611
Prime Factorization of 78502
Prime factors of 78502 are 2, 39251. Prime factorization of 78502 in exponential form is:
78502 = 21 × 392511
Now multiplying the highest exponent prime factors to calculate the LCM of 78483 and 78502.
LCM(78483,78502) = 31 × 261611 × 21 × 392511
LCM(78483,78502) = 6161072466
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