What is the Least Common Multiple of 65662 and 65668?
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 65662 and 65668 is 2155946108.
LCM(65662,65668) = 2155946108
Least Common Multiple of 65662 and 65668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65662 and 65668, than apply into the LCM equation.
GCF(65662,65668) = 2
LCM(65662,65668) = ( 65662 × 65668) / 2
LCM(65662,65668) = 4311892216 / 2
LCM(65662,65668) = 2155946108
Least Common Multiple (LCM) of 65662 and 65668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65662 and 65668. First we will calculate the prime factors of 65662 and 65668.
Prime Factorization of 65662
Prime factors of 65662 are 2, 32831. Prime factorization of 65662 in exponential form is:
65662 = 21 × 328311
Prime Factorization of 65668
Prime factors of 65668 are 2, 16417. Prime factorization of 65668 in exponential form is:
65668 = 22 × 164171
Now multiplying the highest exponent prime factors to calculate the LCM of 65662 and 65668.
LCM(65662,65668) = 22 × 328311 × 164171
LCM(65662,65668) = 2155946108
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