What is the Least Common Multiple of 59102 and 59109?
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 59102 and 59109 is 3493460118.
LCM(59102,59109) = 3493460118
Least Common Multiple of 59102 and 59109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59102 and 59109, than apply into the LCM equation.
GCF(59102,59109) = 1
LCM(59102,59109) = ( 59102 × 59109) / 1
LCM(59102,59109) = 3493460118 / 1
LCM(59102,59109) = 3493460118
Least Common Multiple (LCM) of 59102 and 59109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59102 and 59109. First we will calculate the prime factors of 59102 and 59109.
Prime Factorization of 59102
Prime factors of 59102 are 2, 29, 1019. Prime factorization of 59102 in exponential form is:
59102 = 21 × 291 × 10191
Prime Factorization of 59109
Prime factors of 59109 are 3, 17, 19, 61. Prime factorization of 59109 in exponential form is:
59109 = 31 × 171 × 191 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 59102 and 59109.
LCM(59102,59109) = 21 × 291 × 10191 × 31 × 171 × 191 × 611
LCM(59102,59109) = 3493460118
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