What is the Least Common Multiple of 59139 and 59153?
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 59139 and 59153 is 3498249267.
LCM(59139,59153) = 3498249267
Least Common Multiple of 59139 and 59153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59139 and 59153, than apply into the LCM equation.
GCF(59139,59153) = 1
LCM(59139,59153) = ( 59139 × 59153) / 1
LCM(59139,59153) = 3498249267 / 1
LCM(59139,59153) = 3498249267
Least Common Multiple (LCM) of 59139 and 59153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59139 and 59153. First we will calculate the prime factors of 59139 and 59153.
Prime Factorization of 59139
Prime factors of 59139 are 3, 6571. Prime factorization of 59139 in exponential form is:
59139 = 32 × 65711
Prime Factorization of 59153
Prime factors of 59153 are 149, 397. Prime factorization of 59153 in exponential form is:
59153 = 1491 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 59139 and 59153.
LCM(59139,59153) = 32 × 65711 × 1491 × 3971
LCM(59139,59153) = 3498249267
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