What is the Least Common Multiple of 59217 and 59221?
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 59217 and 59221 is 3506889957.
LCM(59217,59221) = 3506889957
Least Common Multiple of 59217 and 59221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59217 and 59221, than apply into the LCM equation.
GCF(59217,59221) = 1
LCM(59217,59221) = ( 59217 × 59221) / 1
LCM(59217,59221) = 3506889957 / 1
LCM(59217,59221) = 3506889957
Least Common Multiple (LCM) of 59217 and 59221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59217 and 59221. First we will calculate the prime factors of 59217 and 59221.
Prime Factorization of 59217
Prime factors of 59217 are 3, 19739. Prime factorization of 59217 in exponential form is:
59217 = 31 × 197391
Prime Factorization of 59221
Prime factors of 59221 are 59221. Prime factorization of 59221 in exponential form is:
59221 = 592211
Now multiplying the highest exponent prime factors to calculate the LCM of 59217 and 59221.
LCM(59217,59221) = 31 × 197391 × 592211
LCM(59217,59221) = 3506889957
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