What is the Least Common Multiple of 59068 and 59086?
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 59068 and 59086 is 1745045924.
LCM(59068,59086) = 1745045924
Least Common Multiple of 59068 and 59086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59068 and 59086, than apply into the LCM equation.
GCF(59068,59086) = 2
LCM(59068,59086) = ( 59068 × 59086) / 2
LCM(59068,59086) = 3490091848 / 2
LCM(59068,59086) = 1745045924
Least Common Multiple (LCM) of 59068 and 59086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59068 and 59086. First we will calculate the prime factors of 59068 and 59086.
Prime Factorization of 59068
Prime factors of 59068 are 2, 14767. Prime factorization of 59068 in exponential form is:
59068 = 22 × 147671
Prime Factorization of 59086
Prime factors of 59086 are 2, 31, 953. Prime factorization of 59086 in exponential form is:
59086 = 21 × 311 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 59068 and 59086.
LCM(59068,59086) = 22 × 147671 × 311 × 9531
LCM(59068,59086) = 1745045924
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