What is the Least Common Multiple of 59277 and 59295?
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 59277 and 59295 is 1171609905.
LCM(59277,59295) = 1171609905
Least Common Multiple of 59277 and 59295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59277 and 59295, than apply into the LCM equation.
GCF(59277,59295) = 3
LCM(59277,59295) = ( 59277 × 59295) / 3
LCM(59277,59295) = 3514829715 / 3
LCM(59277,59295) = 1171609905
Least Common Multiple (LCM) of 59277 and 59295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59277 and 59295. First we will calculate the prime factors of 59277 and 59295.
Prime Factorization of 59277
Prime factors of 59277 are 3, 19759. Prime factorization of 59277 in exponential form is:
59277 = 31 × 197591
Prime Factorization of 59295
Prime factors of 59295 are 3, 5, 59, 67. Prime factorization of 59295 in exponential form is:
59295 = 31 × 51 × 591 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 59277 and 59295.
LCM(59277,59295) = 31 × 197591 × 51 × 591 × 671
LCM(59277,59295) = 1171609905
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