What is the Least Common Multiple of 62727 and 62741?
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 62727 and 62741 is 562222101.
LCM(62727,62741) = 562222101
Least Common Multiple of 62727 and 62741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62727 and 62741, than apply into the LCM equation.
GCF(62727,62741) = 7
LCM(62727,62741) = ( 62727 × 62741) / 7
LCM(62727,62741) = 3935554707 / 7
LCM(62727,62741) = 562222101
Least Common Multiple (LCM) of 62727 and 62741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62727 and 62741. First we will calculate the prime factors of 62727 and 62741.
Prime Factorization of 62727
Prime factors of 62727 are 3, 7, 29, 103. Prime factorization of 62727 in exponential form is:
62727 = 31 × 71 × 291 × 1031
Prime Factorization of 62741
Prime factors of 62741 are 7, 8963. Prime factorization of 62741 in exponential form is:
62741 = 71 × 89631
Now multiplying the highest exponent prime factors to calculate the LCM of 62727 and 62741.
LCM(62727,62741) = 31 × 71 × 291 × 1031 × 89631
LCM(62727,62741) = 562222101
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