What is the Least Common Multiple of 95220 and 95227?
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 95220 and 95227 is 9067514940.
LCM(95220,95227) = 9067514940
Least Common Multiple of 95220 and 95227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95220 and 95227, than apply into the LCM equation.
GCF(95220,95227) = 1
LCM(95220,95227) = ( 95220 × 95227) / 1
LCM(95220,95227) = 9067514940 / 1
LCM(95220,95227) = 9067514940
Least Common Multiple (LCM) of 95220 and 95227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95227. First we will calculate the prime factors of 95220 and 95227.
Prime Factorization of 95220
Prime factors of 95220 are 2, 3, 5, 23. Prime factorization of 95220 in exponential form is:
95220 = 22 × 32 × 51 × 232
Prime Factorization of 95227
Prime factors of 95227 are 11, 787. Prime factorization of 95227 in exponential form is:
95227 = 112 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95227.
LCM(95220,95227) = 22 × 32 × 51 × 232 × 112 × 7871
LCM(95220,95227) = 9067514940
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