What is the Least Common Multiple of 66154 and 66159?
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 66154 and 66159 is 4376682486.
LCM(66154,66159) = 4376682486
Least Common Multiple of 66154 and 66159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66154 and 66159, than apply into the LCM equation.
GCF(66154,66159) = 1
LCM(66154,66159) = ( 66154 × 66159) / 1
LCM(66154,66159) = 4376682486 / 1
LCM(66154,66159) = 4376682486
Least Common Multiple (LCM) of 66154 and 66159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66154 and 66159. First we will calculate the prime factors of 66154 and 66159.
Prime Factorization of 66154
Prime factors of 66154 are 2, 11, 31, 97. Prime factorization of 66154 in exponential form is:
66154 = 21 × 111 × 311 × 971
Prime Factorization of 66159
Prime factors of 66159 are 3, 7351. Prime factorization of 66159 in exponential form is:
66159 = 32 × 73511
Now multiplying the highest exponent prime factors to calculate the LCM of 66154 and 66159.
LCM(66154,66159) = 21 × 111 × 311 × 971 × 32 × 73511
LCM(66154,66159) = 4376682486
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