What is the Least Common Multiple of 53410 and 53429?
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 53410 and 53429 is 2853642890.
LCM(53410,53429) = 2853642890
Least Common Multiple of 53410 and 53429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53410 and 53429, than apply into the LCM equation.
GCF(53410,53429) = 1
LCM(53410,53429) = ( 53410 × 53429) / 1
LCM(53410,53429) = 2853642890 / 1
LCM(53410,53429) = 2853642890
Least Common Multiple (LCM) of 53410 and 53429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53410 and 53429. First we will calculate the prime factors of 53410 and 53429.
Prime Factorization of 53410
Prime factors of 53410 are 2, 5, 7, 109. Prime factorization of 53410 in exponential form is:
53410 = 21 × 51 × 72 × 1091
Prime Factorization of 53429
Prime factors of 53429 are 23, 101. Prime factorization of 53429 in exponential form is:
53429 = 232 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 53410 and 53429.
LCM(53410,53429) = 21 × 51 × 72 × 1091 × 232 × 1011
LCM(53410,53429) = 2853642890
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