What is the Least Common Multiple of 65149 and 65154?
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 65149 and 65154 is 4244717946.
LCM(65149,65154) = 4244717946
Least Common Multiple of 65149 and 65154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65149 and 65154, than apply into the LCM equation.
GCF(65149,65154) = 1
LCM(65149,65154) = ( 65149 × 65154) / 1
LCM(65149,65154) = 4244717946 / 1
LCM(65149,65154) = 4244717946
Least Common Multiple (LCM) of 65149 and 65154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65149 and 65154. First we will calculate the prime factors of 65149 and 65154.
Prime Factorization of 65149
Prime factors of 65149 are 7, 41, 227. Prime factorization of 65149 in exponential form is:
65149 = 71 × 411 × 2271
Prime Factorization of 65154
Prime factors of 65154 are 2, 3, 10859. Prime factorization of 65154 in exponential form is:
65154 = 21 × 31 × 108591
Now multiplying the highest exponent prime factors to calculate the LCM of 65149 and 65154.
LCM(65149,65154) = 71 × 411 × 2271 × 21 × 31 × 108591
LCM(65149,65154) = 4244717946
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