What is the Least Common Multiple of 66052 and 66071?
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 66052 and 66071 is 4364121692.
LCM(66052,66071) = 4364121692
Least Common Multiple of 66052 and 66071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66052 and 66071, than apply into the LCM equation.
GCF(66052,66071) = 1
LCM(66052,66071) = ( 66052 × 66071) / 1
LCM(66052,66071) = 4364121692 / 1
LCM(66052,66071) = 4364121692
Least Common Multiple (LCM) of 66052 and 66071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66052 and 66071. First we will calculate the prime factors of 66052 and 66071.
Prime Factorization of 66052
Prime factors of 66052 are 2, 7, 337. Prime factorization of 66052 in exponential form is:
66052 = 22 × 72 × 3371
Prime Factorization of 66071
Prime factors of 66071 are 66071. Prime factorization of 66071 in exponential form is:
66071 = 660711
Now multiplying the highest exponent prime factors to calculate the LCM of 66052 and 66071.
LCM(66052,66071) = 22 × 72 × 3371 × 660711
LCM(66052,66071) = 4364121692
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