What is the Least Common Multiple of 26462 and 26477?
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 26462 and 26477 is 700634374.
LCM(26462,26477) = 700634374
Least Common Multiple of 26462 and 26477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26462 and 26477, than apply into the LCM equation.
GCF(26462,26477) = 1
LCM(26462,26477) = ( 26462 × 26477) / 1
LCM(26462,26477) = 700634374 / 1
LCM(26462,26477) = 700634374
Least Common Multiple (LCM) of 26462 and 26477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26462 and 26477. First we will calculate the prime factors of 26462 and 26477.
Prime Factorization of 26462
Prime factors of 26462 are 2, 101, 131. Prime factorization of 26462 in exponential form is:
26462 = 21 × 1011 × 1311
Prime Factorization of 26477
Prime factors of 26477 are 11, 29, 83. Prime factorization of 26477 in exponential form is:
26477 = 111 × 291 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 26462 and 26477.
LCM(26462,26477) = 21 × 1011 × 1311 × 111 × 291 × 831
LCM(26462,26477) = 700634374
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