What is the Least Common Multiple of 64201 and 64207?
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 64201 and 64207 is 4122153607.
LCM(64201,64207) = 4122153607
Least Common Multiple of 64201 and 64207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64201 and 64207, than apply into the LCM equation.
GCF(64201,64207) = 1
LCM(64201,64207) = ( 64201 × 64207) / 1
LCM(64201,64207) = 4122153607 / 1
LCM(64201,64207) = 4122153607
Least Common Multiple (LCM) of 64201 and 64207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64201 and 64207. First we will calculate the prime factors of 64201 and 64207.
Prime Factorization of 64201
Prime factors of 64201 are 19, 31, 109. Prime factorization of 64201 in exponential form is:
64201 = 191 × 311 × 1091
Prime Factorization of 64207
Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:
64207 = 111 × 131 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 64201 and 64207.
LCM(64201,64207) = 191 × 311 × 1091 × 111 × 131 × 4491
LCM(64201,64207) = 4122153607
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